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Finding the Fourth Proportional to 511.21, 764.54 and 453.80

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Solution

The fourth proportional to 511.21, 764.54 and 453.80 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.21 : 764.54 = 453.80 : x
  2. Step 2: Convert to fraction form
    511.21/764.54 = 453.80/x
  3. Step 3: Cross multiply
    511.21x = 764.54 × 453.80
  4. Step 4: Simplify right side
    511.21x = 346,949.60
  5. Step 5: Solve for x
    x = 346,949.60/511.21
  6. Step 6: Final answer
    x = 678.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.